10. complete the missing reasons in the proof shown below.

Reason 1: Given
With any proof, the first line is always what you are given. You simply repeat it to set up a formal proof. Yes it seems redundant but it's just how proofs are done.

Reason 2: Vertical Angle Theorem
Vertical angles are formed by two lines crossing to form an X shape. The vertical angles are opposite one another. They are congruent angles.

Reason 3: ASA (angle side angle) Congruence Theorem
In statement 1, we found the A and S part, while statement 2 provides the other A allowing us to use ASA. Notice how the segment (S) is between the two angles (A)

Reason 4: CPCTC
Since we know the triangles are congruent (back in statement 3), we know the corresponding pieces are congruent. CPCTC stands for "corresponding parts of congruent triangles are congruent"

The point (5, 10) will work for the rule y=x+5.y= 10 x= 510=5+510=10therefore the ordered pair (5, 10) works for the rule